Answer:
The ratio of the difference of the two means to Sidney's mean absolute deviation =
= 1.2195
Step-by-step explanation:
P.S - The exact question is -
Given - The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below.
Sidney’s Grades Phil’s Grades
Mean 82 78
Mean Absolute Deviation 3.28 3.96
To find - Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?
Proof -
Given that Mean of Sidney Grades = 82
Mean of Phil's Grades = 78
So,
The difference of two means = 82 - 78 = 4
Also,
Given, Mean Absolute Deviation of Sydney = 3.28
Now,
The ratio of the difference of the two means to Sidney's mean absolute deviation =
= 1.2195
Answer:
Exact Form:
20/10
Decimal Form:
2.9
Mixed Number Form:
2 9/10
Step-by-step explanation:
Given:
The base of the prism is a right triangle with legs 1 m and 2 m.
The height of the prism is 17 m.
To find:
The volume of the given prism.
Solution:
The area of a triangle is:

So, the area of base of the prism is:


Now, the volume of the prism is:

Where, B is the base area and h is the height of the prism.
Substituting
, we get


The volume of the prism is 17 cubic m. Therefore, the correct option is (d).
Answer:
See explanation
Step-by-step explanation:
<u>Given:</u> m∠SQR=55°.
m∠PQS=35°.
<u>Prove:</u> △PQR is a right triangle.
<u>Paragraph proof </u>

Here d means definition
4 can be added to 5, and 3 can be added to 3. This should then give you a ratio of 9:6, which reduces to 3:2!